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1)What’s the possible S for two particles state with s1 = 1,s2 = 3/2? What’s the...

1)What’s the possible S for two particles state with s1 = 1,s2 = 3/2? What’s the possible S for three particles state with s1 = 1/2, s2 = 1, s3 = 3/2?

2)When there are three particles with s1 = 1/2,s2 = 1/2,s3 = 1/2, please write down the matrix presentation of Sx,Sy,Sz,S^2 in tensor product form with {|m1,m2,m3〉} as bases, where |m1,m2,m3〉 is a short form of |1/2, m1〉 ⊗ |1/2, m2〉 ⊗ |1/2, m3〉.

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As not mentioned which question to answer. I solved first question According to HomeworkLib guidelines.

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